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Finding the Fourth Proportional to 233.56, 348.53 and 224.74

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Solution

The fourth proportional to 233.56, 348.53 and 224.74 is: 335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 348.53 = 224.74 : x
  2. Step 2: Convert to fraction form
    233.56/348.53 = 224.74/x
  3. Step 3: Cross multiply
    233.56x = 348.53 × 224.74
  4. Step 4: Simplify right side
    233.56x = 78,328.63
  5. Step 5: Solve for x
    x = 78,328.63/233.56
  6. Step 6: Final answer
    x = 335.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.